Leibniz's theory of proof

Authors

  • Mark Julian Cass Universidade Federal de São Carlos

DOI:

https://doi.org/10.1590/S1678-31662013000200002

Keywords:

Proof, Identity, Reductio ad absurdum, Truth, Possibility, Leibniz

Abstract

Leibniz proposed that demonstrations be reformulated as deductions from identities, and that propositions of the type A = A be the only source of truth. In this article, I aim to explain this theory of proof (and knowledge), as well as its elementary concepts, such as identity, truth (or possibility) and proposition (including Leibniz's theory of reducibility of propositions to subject-predicate form).

Downloads

Download data is not yet available.

References

Aristóteles. Posterior analytics. Tradução J. Barnes. 2 ed. Oxford: Clarendon Press, 1994.

Broad, C. D. Leibniz, an introduction. London: Cambridge University Press, 1975.

Gerhardt, C. F. (Org.). Die philosophischen Schriften von Gottfried Wilhelm Leibniz. Berlin: Weidmannsche Buchhandlung, 1879.

Leibniz, G. W. Briefwechsel zwischen Leibniz und des Bosses (1706-1716). In: Gerhardt, C. F. (Org.). Die philosophischen Schriften von Gottfried Wilhelm Leibniz. Berlim: Weidmannsche Buchhandlung, 1879. v. 2, p. 284-521.

Leibniz, G. W. Nouveaux essais sur l’entendement humain. Paris: Flammarion, 1921.

Leibniz, G. W. Logical papers. Tradução G. H. R. Parkinson . Oxford: Clarendon Press, 1966.

Leibniz, G. W. Correspondência com Clarke. Tradução C. L. de Mattos. São Paulo: Abril Cultural, 1974 [1715-16]. p. 401-68. (Os Pensadores, v. 19).

Leibniz, G. W. Monadologia. Tradução M. S. Chauí Berlinck. São Paulo: Abril Cultural, 1974 [1714]. p. 61-73. (Os Pensadores, v. 19).

Leibniz, G. W. Primary truths. In: Morris, M. & Parkinson, G. H. R. (Ed.). Philosophical writings of G. W. Leibniz. London: Dent, 1995 [1686]. p. 87-92.

Leibniz, G. W. Novos ensaios sobre o entendimento humano. Tradução L. J. Baraúna. São Paulo: Nova Cultural, 1999.(Os Pensadores).

Mates, B. The philosophy of Leibniz. New York: Oxford University Press, 1989.

Morris, M. & Parkinson, G. H. R. (Ed.). Philosophical writings of G. W. Leibniz. London: Dent, 1995 [1686].

Mugnai, M. Leibniz’ theory of relations. Stuttgart: Franz Steiner, 1992.

Poincaré, H. A ciência e a hipótese. Brasília: Editora Universidade de Brasília, 1984.

Rescher, N. G. W. Leibniz’s Monadology. London: Routledge, 1991.

Russell, B. A critical exposition of the philosophy of Leibniz. London: George Allen & Unwin, 1971.

Russell, B. History of western philosophy. London: George Allen & Unwin, 1976.

Tarski, A. Introduction to logic. New York: Oxford University Press, 1941.

Wong, D. Leibniz’s theory of relations. Philosophical Review, 89, 2, p. 241-56, 1980.

Published

2013-06-01

Issue

Section

Articles

How to Cite